220224144 has 160 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 59867136.

The previous prime is 220224143. The next prime is 220224157. The reversal of 220224144 is 441422022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 220224144.

It is not an unprimeable number, because it can be changed into a prime (220224143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945052 + ... + 945284.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^220224144 is an apocalyptic number.

220224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

220224144 is an abundant number, since it is smaller than the sum of its proper divisors (462232176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220224144 is a wasteful number, since it uses less digits than its factorization.

220224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 220224144 is about 14839.9509433151. The cubic root of 220224144 is about 603.8860215027.

Adding to 220224144 its reverse (441422022), we get a palindrome (661646166).

The spelling of 220224144 in words is "two hundred twenty million, two hundred twenty-four thousand, one hundred forty-four".